SAT Linear equations in one variable Practice Question 14 (Medium)

Question bank / Linear equations in one variable

Math · AlgebraMedium

In the equation $4(x + a) = 4x + 20$ , $a$ is a constant. If the equation has infinitely many solutions, what is the value of $a$ ?

$4$

$5$

$16$

$20$

Show answer and explanation

Answer: B

Distribute: $4x + 4a = 4x + 20$ . For the equation to be true for all $x$ , the constant terms must match: $4a = 20$ , so $a = 5$ .

Choice D is the value of $4a$ , not $a$ .

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